NEW WAVE SOLUTIONS OF TIME FRACTIONAL CHAFEE-INFANTE EQUATION WITH BETA DERIVATIVE

Year 2024, Volume: 6 Issue: 1, 15 - 23, 03.05.2024

Sena Alakuş , Ali Kurt

https://doi.org/10.47087/mjm.1388427

Abstract

In this article, we discuss the exact solutions forthe Chafee-Infante equation involving beta fractional derivative. Beta fractional derivative which is a local derivative, is a modification of conformable fractional derivative. Using the Modified Kudryashov Method, we obtain the general solution of the time fractional Chafee-Infante equation with the help of Wolfram Mathematica. We use chain rule and wave transform to convert the equation into integer order nonlinear ordinary differential equation. Hence, we don’t need any discretization, normalization, or reduction. Moreover, 3D graphical representations are given. With the help of these representations, we can have an idea on the physical and geometrical behavior of the solutions.

Keywords

Beta fractional derivative, Chafee-Infante equation, analytical methods, modified Kudryashov method, fractional derivative

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